The metaphysics and mathematics of arbitrary objects [EBook] / Leon Horsten.
The metaphysics and mathematics of arbitrary objects [EBook] / Leon Horsten.
Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and...
Personal Name(s):  Horsten, Leon, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2019

Physical Description: 
1 online resource (xvii, 231 pages) 
Note: 
englisch 
ISBN: 
9781139600293 9781107039414 9781108706599 
Subject (LOC):  
Full Text 
Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenthcentury concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day. 